Sira Gratz

Description

Title: Cluster tilting modules for mesh algebras

Abstract:
Cluster tilting modules for finite dimensional self-injective algebras are notoriously elusive, and their existence has powerful consequences for the representation theoretic properties of such an algebra.
We present a new example of naturally occurring self-injective algebras that have cluster tilting modules: The mesh algebras of non-simply laced Dynkin type. In this talk, we will discuss how we can exploit work by Darpö and Iyama, and by Geiss, Leclerc and Schröer, to show the existence of cluster tilting modules. Moreover, we will discuss the importance of a specific automorphism of mesh algebras, and show how we can use a twisted Ext-symmetry to describe mutation of cluster tilting modules. This provides an explicit example of mutation of cluster tilting modules in a module category that is not stably 2-Calabi Yau.

This talk is based on joint work with Karin Erdmann and Lisa Lamberti.

Period	3 Jun 2019
Visiting from	University of Glasgow (United Kingdom)
Visitor degree	PhD
Degree of Recognition	Local